5.1. Selection of Geotechnical Parameters
The assessments suggest that in open-pit area, residual internal friction angles (φr) of bottom clay and black clay layers within coal could be taken as 12° and 9° respectively. The geotechnical parameters representing other geological units were selected from the data provided from previous investigations and this study. All mentioned failures in open pit walls are sequentially analysed based on geotechnical properties given in Table 5, and a conceptual model of sinkhole area was analysed considering the karst dewatering activity initiated behind the southwest permanent slope of the open pit mine.
5.2. Instabilities of SW Wall of Open Pit
In order to reveal the mechanism underlying the instability problem in the southwest slope system, FEM analyses repeated for each case following.
Phase 1: August 2009 (the First Cracks)
Phase 2: January 2010 (the First Landslide)
Phase 3: February 6, 2011 (Landslide I)
The most critical 2D models of this slope system were transferred to the Rs2 version: 11.020 software (Rocscience, 2023). Existing slope geometries and groundwater levels were defined separately at each phase and geological models were constructed by correlating borehole logs on or near cross-section lines. Except base rock, the Mohr-Coulomb failure criterion was used for model layers. The base rock was introduced to model according to Hoek-Brown failure criterion embedded to this software. For all phase, the level of the riverbed of Hurman and the elevations of the open pit floors were considered as constant hydraulic levels. The external boundary of models was fixed at bottom and free at both sides. Six noded triangular uniform mesh selected for discretization of FEM models. The ratio of field stresses (σh/σv) has considered as 0.40 for all cases.
Using the Shear Strength Reduction (SSR) method (Hammah et al., 2005) the stability of soil or rock slopes can be determined by finding the critical strength reduction factor (SRF). The Shear Strength Reduction option in RS2 is used for cases implemented in this study. It allows us to automatically perform a finite element slope stability analysis, and compute a critical SRF for the model. The critical strength reduction factor is equivalent to the "safety factor" of the slope (Rocscience, 2023).
The 2D Geological model, and some results from the analysis of the Phase 1, are shown in Fig. 14. The critical strength reduction factor (SRF) was obtained as 0.93 for this phase. It has been seen that the maximum shear strain develops along two planes close to the horizontal, which correspond to the contact between the base rock (BR) and the bottom clay (BTC), and the main shear zone (SZ) appears to have curved backwards and lengthened to the area where the first surface cracks (FC) were formed, which were detected in August 2009 (Fig. 2a). Despite the fact that the black clay layer within coal (BLC) has a relatively low shear strain, it can also be considered to have an effect on the stability of the SE slope. However, for critical SRF, the maximum total displacement along the shear zone is much higher than what was observed in August 2009. But it is approximately 1 m for SSR value of 0.75.
Similar results were found out from repeated analysis for the Phase 2, when displacements in August 2009 were not considered (Fig. 15). The slip zone almost coincides with the one obtained for previous phase, and while the critical SRF value decreased to 0.73, the total deformations increased and the movement of the block on the black clay towards the bottom of the pit became evident. In addition, due to the deepening of the excavation pit, a heave up to approx. 1m high occurs at the pit floor. The FEM analysis indicates that translational motion of a block on black clay and bottom clay has continued since August 2009. This confirms our field observations, which we have already discussed under previous headings.
Figure 16 shows the results of third phase of FEM analysis concerning the stability condition in the southwest slope just before the Landslide I. Decrease in critical SRF value obtained for this phase to 0.70 indicates that the SW slope system has been progressively deteriorating since August 2009. The vertical displacement corresponding to the critical SRF value reaches 30 m, while the horizontal displacement reaches 36 m. The subsidence zone in this figure and the block displaced horizontally in front of this zone into the open pit completely coincide with our own field observations (Fig. 4b and 4c). As mentioned above, despite the mitigations such as earth removal work at the top area of this slope and in pit filling to support the toe zone, the mass movement starting in August 2009 could not be prevented. Mine activity reports indicate that coal production continued on the bottom of the open pit on this date and excavations were carried out that reached even below the lowest level. Also, before the landslide, the Coal Panel F (Fig. 2b and Fig. 18) in the toe area of the NE wall supporting each opposite slope was entirely excavated away. In brief, the analysis of the 2D FEM models corresponding to SW slope system suggest that that the translational movement of the same block, which began in August 2009 on the bottom clay and black clay, moved until February 2011, while the displacement rate changed from time to time.
5.3. Instabilities of NE Wall of Open Pit
The most critical and representative geological models of NE wall were set up using borehole data for two different cases (Fig. 17a and 18a). However, since there is no drilling in this region extending to the bedrock, the thickness of the bottom clay is estimated to be 50m, and the boundary of the bedrock and the bottom clay is assumed to be horizontal. The first case corresponds to the 2D slope geometry in January 2010, while the second in January 2011.
As can be seen from Fig. 17, the 120m wide F coal panel that ensures the stability of the slope in the toe area of the northeast wall has not yet been excavated in January 2010 and the pit floor elevation was approximately 1050mASL. From the results of the 2D FEM analysis of this phase, it becomes clear that the slope of the NE is in a critical equilibrium state (SRF = 1), and there is no displacement in this wall. But a potential shear zone appears along a semi-circular surface that also passes under the coal panel F.
The results of FEM analysis, which was renewed considering the condition of the same wall in January 2011, are shown in Fig. 18. The location of the tension crack (TC) observed before Landslide II (MTA, 2017) at the top bench crest is marked on the geological model. From the excavation profile in this figure, it is evident that the coal panel F in toe zone was completely excavated on this date. For the critical SRF value of 0.63, the shear zone and total displacements are shown in Fig. 18b and Fig. 18c respectively. This solution yields similar components that demonstrate a rotational motion and backward tilting mechanism that we pointed in Fig. 7. In addition, Fig. 18c refers to a potential tension zone (TZ) of about 500 m, which corresponds to a zone of successive failures extending backwards behind the upper bench top after Landslide II. The results from the FEM analyses of the northeast wall coincide significantly with our field observations in the area where Landslide II occurred. Without reducing the overall angle of the northwest wall and reducing the GWL to the level envisaged in mine planning, it shows that the excavation of the F panel adversely affected the stability of this wall.
5.3. Karst Drainage Related Collapses
Within the scope of this study, additional boreholes were drilled to determine the geotechnical characteristics of the model layers in the zone where the mentioned sinkholes were formed. Disturbed (SPT) and undisturbed (UD) samples were taken from different depths of these boreholes, and they were subjected to sieve analysis, consistency limit and consolidated and drained (CD) shear tests. Some of the test results are given in Table 6. It was determined that the alluvium composed of coarse gravel with small amount of sand, and sand content did not exceed 25%. The thin layer of cohesive top soil covering the alluvium in the sinkhole area has medium plasticity (MI), while samples from gyttja have high plasticity (CH, MH). The natural water content of the UD-3 sample taken from the depth of 37.50–38.00 m of the ITU-3 borehole is higher than the liquid limit of this sample.
As can be seen from Table 6, the porosity of the gyttja is usually over 60%, and peak shear strength parameters obtained for gyttja varies in a wide range. If shear strength parameters compared to the MBEG (2012) data presented in Table 4, it is understood that the same layers of Plio-Quaternary sediments are weaker at the edge of the basin.
The main boundary conditions of a conceptual model based on field observations and drillings in sinkhole area are shown in Fig. 19. Theoretically, it was hypothesized that excessive discharge from new karst wells could cause an interaction between two aquifers that meet at the edge of the basin. It was also considered in this model that there may have been shallow karst cavities (KC) in the bedrock in the area where the sinkholes formed.
The conceptual model was checked in two different ways. In the first, groundwater was pumped from K-coded karst wells whose locations are marked in Fig. 8, and then groundwater levels were measured in the boreholes close to the sinkholes. The measured levels were also correlated considering the levels measured at research pit and riverbed elevations. This comparison shows that the groundwater level (GWL) decreases towards the ITU-1 borehole at the edge of basin and the flow line develops in the same direction. It was found out that during the withdrawal of groundwater from the karst wells, the cone of drawdown would be in the area where the sinkholes are clustered, therefore this comparison supports the conceptual model. 2D FEM analysis was used as a second way to check the validity of the conceptual model. For this purpose, the conceptual model was digitized and analyzed using data from geotechnical boreholes and pumping experiments. Geotechnical parameters and hydraulic conductivities of model layer were selected from the Table 2, Table 5 and Table 6. Hydraulic head of confined aquifer and the Hurman River are introduced separately. In the numerical model, the water level of the Hurman River feeding the upper alluvium aquifer is kept constant. At the last stage of modeling, karst dewatering process was introduced to model.
The average filtration rate of karst wells which were under operation calculated according to the equation below.
$$V=Q/\left({F}_{k}{H}_{f}\pi \text{r}\right)$$
Where;
\(Q\) : Monthly total discharge from karst wells (865670 m3/month) in March 2015
\({F}_{k}\) : Filter coefficient = 0.1
\({H}_{f}\) : Total length of filtered zones in karst wells under operation at the same period = 104m
\(\text{r}\) : Radius of karst wells = 0.5m
In this model, a karstic cavity which is not in regular geometry and full of groundwater randomly generated in shallow depth of base rock (Fig. 20a). After performing the FEM analysis, no significant displacement occurred in the area where the sinkholes formed. However, considering the karst structure of the bedrock, only the initial hydraulic conductivity of the karst aquifer was increased, without changing the other model parameters, until the vertical displacement observed in the cavities was reached. Because of this calibration; the hydraulic conductivity of karst aquifer has been increased up to 2.32E-2 m/s.
After starting groundwater discharge from the sub-aquifer, it was determined that both the hydraulic gradient and the velocity of the groundwater increased, while the pore pressure decreased below the area where the sinkholes formed (Fig. 20c and 20d). FEM analysis also shows that groundwater flow lines are controlled by contact between alluvial and base rock, while vertical displacements up to 3.5 m occur in the area where the sinkholes are located (Fig. 20e).